数学最新文献

{"title":"Construction, analysis, and circuit implementation of a memristive grid-multi-wing chaotic system based on a novel memristor with a single multi-section internal function","authors":"Xiangkun Chen ,&nbsp;Wenxia Xu ,&nbsp;Guodong Li ,&nbsp;Hepeng Pan ,&nbsp;Jingxu Zhang","doi":"10.1016/j.chaos.2025.116481","DOIUrl":"10.1016/j.chaos.2025.116481","url":null,"abstract":"<div><div>The memristor, due to its nonlinear characteristics and unique memory function, is often used to construct memristive chaotic systems with distinct dynamic behaviors. This paper presents a novel multi-piecewise memristor, which is coupled with the modified Sprott C system (MSCS) to construct a memristive grid multi-wing chaotic system (MGMWCS). By coupling different numbers of memristors, one-dimensional, two-dimensional, and three-dimensional memristive grid multi-wing chaotic attractors (MGMWCAs) can be generated. It is worth noting that the memristor proposed in this paper contains only a single internal piecewise function and a state variable. By adjusting the segmentation parameters of the piecewise function, multiple memristive grid chaotic attractors can be generated. First, the nonlinear characteristics and non-volatility of the memristor were verified using hysteresis loops and Power-Off plot (POP). Subsequently, a comprehensive analysis of MGMWCS was conducted using phase diagrams, bifurcation diagrams, and Lyapunov exponent plots, revealing the complex dynamical behaviors of the chaotic system. In addition, we performed digital circuit simulation of the memristor and MGMWCS using Multisim. The hysteresis loop of the memristor and the phase diagram of MGMWCS were displayed on an oscilloscope, verifying the physical implementability of MGMWCS. Finally, the phase diagram of 1D-MGMWCAs, 2D-MGMWCAs and 3D-MGMWCAs were plotted using the DSP hardware platform, highlighting the excellent application potential of MGMWCS.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116481"},"PeriodicalIF":5.3,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Generation of n-dimensional complex chaotic system via parameter matrix configuration","authors":"Jinhui Yao ,&nbsp;Yinxing Zhang ,&nbsp;Han Bao ,&nbsp;Zhongyun Hua","doi":"10.1016/j.chaos.2025.116453","DOIUrl":"10.1016/j.chaos.2025.116453","url":null,"abstract":"<div><div>Complex chaotic systems can exhibit high chaotic complexity due to the presence of complex variables and complex parameters. Most research has focused on real chaotic systems, but complex chaotic systems remain relatively under-explored. To this end, this work presents an <span><math><mi>n</mi></math></span>-dimensional complex chaotic system (<span><math><mi>n</mi></math></span>D-CCS) generation method utilizing complex parametric Pascal matrices. Initially, these matrices are generated and subsequently utilized as the parameter matrices for constructing the <span><math><mi>n</mi></math></span>D chaotic systems. Theoretical analysis demonstrates that the proposed <span><math><mi>n</mi></math></span>D-CCS can exhibit chaotic behavior. Extensive experiments show that the <span><math><mi>n</mi></math></span>D-CCS possesses more robust chaotic performance than existing <span><math><mi>n</mi></math></span>D real chaotic systems. To demonstrate the effectiveness of our method, a four-dimensional complex chaotic map (4D-CCM) is generated and its chaotic behavior is analyzed. Furthermore, we develop a hardware platform to verify the 4D-CCM’s implementation on hardware devices. We also design pseudorandom number generators (PRNGs) using the 4D-CCM and test their randomness against the NIST SP800-22 standard. The result indicates excellent randomness in the PRNGs.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116453"},"PeriodicalIF":5.3,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882493","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Corrigendum to “Noncoprime action of a cyclic group” [J. Algebra 643 (2024) 1–10]","authors":"Gülin Ercan ,&nbsp;İsmail Ş. Güloğlu","doi":"10.1016/j.jalgebra.2025.04.002","DOIUrl":"10.1016/j.jalgebra.2025.04.002","url":null,"abstract":"<div><div>A gap in the proof of our main theorem in the paper “Noncoprime action of a cyclic group”, J. Algebra 643 (2024) 1–10, is found.</div></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":"678 ","pages":"Pages 390-391"},"PeriodicalIF":0.8,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143887165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Convergence of first-order quasilinear hyperbolic systems to hyperbolic-parabolic systems","authors":"Yue-Jun Peng ,&nbsp;Shuimiao Du","doi":"10.1016/j.na.2025.113830","DOIUrl":"10.1016/j.na.2025.113830","url":null,"abstract":"<div><div>We provide a framework to study the zero relaxation time limit of Cauchy problem for first-order quasilinear hyperbolic systems with relaxation in several space dimensions. For this purpose, we construct an approximate solution by a formal asymptotic expansion with initial layer corrections. The system of the leading term in the expansion is governed by a hyperbolic-parabolic system. Under appropriate structural and partial dissipation conditions, we justify rigorously the validity of the asymptotic expansion on a time interval independent of the relaxation time, provided that the system of the leading term admits a local-in-time smooth solution. The main theorem of the present paper includes the results obtained in previous works and applies to additional examples of models arising in fluid mechanics.</div></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":"259 ","pages":"Article 113830"},"PeriodicalIF":1.3,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143888025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Explicit solution for the hyperbolic homogeneous scalar one-dimensional conservation law","authors":"Didier Clamond","doi":"10.1016/j.aml.2025.109593","DOIUrl":"10.1016/j.aml.2025.109593","url":null,"abstract":"<div><div>A complex integral formula provides an explicit solution of the initial value problem for the nonlinear scalar 1D equation <span><math><mrow><msub><mrow><mi>u</mi></mrow><mrow><mi>t</mi></mrow></msub><mo>+</mo><msub><mrow><mrow><mo>[</mo><mi>f</mi><mrow><mo>(</mo><mi>u</mi><mo>)</mo></mrow><mo>]</mo></mrow></mrow><mrow><mi>x</mi></mrow></msub><mo>=</mo><mn>0</mn></mrow></math></span>, for any flux <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>u</mi><mo>)</mo></mrow></mrow></math></span> and initial condition <span><math><mrow><msub><mrow><mi>u</mi></mrow><mrow><mn>0</mn></mrow></msub><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math></span> that are analytic. This formula is valid for some times <span><math><mrow><mi>t</mi><mo>&gt;</mo><mn>0</mn></mrow></math></span>, <span><math><mi>u</mi></math></span> remaining analytic.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"169 ","pages":"Article 109593"},"PeriodicalIF":2.9,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143891295","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Circulant graphs with valency up to 4 that admit perfect state transfer in Grover walks","authors":"Sho Kubota ,&nbsp;Kiyoto Yoshino","doi":"10.1016/j.jcta.2025.106064","DOIUrl":"10.1016/j.jcta.2025.106064","url":null,"abstract":"<div><div>We completely characterize circulant graphs with valency up to 4 that admit perfect state transfer. Those of valency 3 do not admit it. On the other hand, circulant graphs with valency 4 admit perfect state transfer only in two infinite families: one discovered by Zhan and another new family, while no others do. The main tools for deriving these results are symmetry of graphs and eigenvalues. We describe necessary conditions for perfect state transfer to occur based on symmetry of graphs, which mathematically refers to automorphisms of graphs. As for eigenvalues, if perfect state transfer occurs, then certain eigenvalues of the corresponding isotropic random walks must be the halves of algebraic integers. Taking this into account, we utilize known results on the rings of integers of cyclotomic fields.</div></div>","PeriodicalId":50230,"journal":{"name":"Journal of Combinatorial Theory Series A","volume":"216 ","pages":"Article 106064"},"PeriodicalIF":0.9,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Affine quermassintegrals and even Minkowski valuations","authors":"Georg C. Hofstätter,&nbsp;Philipp Kniefacz,&nbsp;Franz E. Schuster","doi":"10.1016/j.aim.2025.110285","DOIUrl":"10.1016/j.aim.2025.110285","url":null,"abstract":"<div><div>It is shown that each continuous even Minkowski valuation on convex bodies of degree <span><math><mn>1</mn><mo>≤</mo><mi>i</mi><mo>≤</mo><mi>n</mi><mo>−</mo><mn>1</mn></math></span> intertwining rigid motions is obtained from convolution of the <em>i</em>th projection function with a unique spherical Crofton distribution. In case of a non-negative distribution, the polar volume of the associated Minkowski valuation gives rise to an isoperimetric inequality which strengthens the classical relation between the <em>i</em>th quermassintegral and the volume. This large family of inequalities unifies earlier results obtained for <span><math><mi>i</mi><mo>=</mo><mn>1</mn></math></span> and <span><math><mi>n</mi><mo>−</mo><mn>1</mn></math></span>. In these cases, isoperimetric inequalities for affine quermassintegrals, specifically the Blaschke–Santaló inequality for <span><math><mi>i</mi><mo>=</mo><mn>1</mn></math></span> and the Petty projection inequality for <span><math><mi>i</mi><mo>=</mo><mi>n</mi><mo>−</mo><mn>1</mn></math></span>, were proven to be the strongest inequalities. An analogous result for the intermediate degrees is established here. Finally, a new sufficient condition for the existence of maximizers for the polar volume of Minkowski valuations intertwining rigid motions reveals unexpected examples of volume inequalities having asymmetric extremizers.</div></div>","PeriodicalId":50860,"journal":{"name":"Advances in Mathematics","volume":"473 ","pages":"Article 110285"},"PeriodicalIF":1.5,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882163","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Refined canonical stable Grothendieck polynomials and their duals, Part 2","authors":"Byung-Hak Hwang ,&nbsp;Jihyeug Jang ,&nbsp;Jang Soo Kim ,&nbsp;Minho Song ,&nbsp;U-Keun Song","doi":"10.1016/j.ejc.2025.104166","DOIUrl":"10.1016/j.ejc.2025.104166","url":null,"abstract":"<div><div>This paper is the sequel of the paper under the same title with part 1, where we introduced refined canonical stable Grothendieck polynomials and their duals with two families of infinite parameters. In this paper we give combinatorial interpretations for these polynomials using generalizations of set-valued tableaux and reverse plane partitions, respectively. Our results extend to their flagged and skew versions.</div></div>","PeriodicalId":50490,"journal":{"name":"European Journal of Combinatorics","volume":"127 ","pages":"Article 104166"},"PeriodicalIF":1.0,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143885982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Nonlinear dynamics and continuation analysis of a four degree-of-freedom drifter-rock model","authors":"Wei Ma ,&nbsp;Siyuan Chang ,&nbsp;Joseph Páez Chávez ,&nbsp;Songyuan Wang ,&nbsp;Wenzhang Wu","doi":"10.1016/j.chaos.2025.116470","DOIUrl":"10.1016/j.chaos.2025.116470","url":null,"abstract":"&lt;div&gt;&lt;div&gt;A rock contact model is introduced, and the rock drilling process of the hydraulic drifter is established as a four degree-of-freedom (DOF) mechanical model. The mechanical model is simplified using a nondimensionalization method, resulting in a compact form. The periodic trajectories of the mechanical model are segmented to establish a mathematical model. Non-stick period-1 trajectories are obtained. The angular frequency and vertical offset are used as control parameters for bifurcation and basins of attraction. One-parameter continuation and two-parameter domain are conducted. Results indicate that: When &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mi&gt;ω&lt;/mi&gt;&lt;mo&gt;≤&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;34&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, the model exhibits stick behavior. For &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;35&lt;/mn&gt;&lt;mo&gt;≤&lt;/mo&gt;&lt;mi&gt;ω&lt;/mi&gt;&lt;mo&gt;≤&lt;/mo&gt;&lt;mn&gt;20&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, the model transitions to the non-stick mode. The fingered chaotic attractor emerges from stable periodic trajectories via period-doubling bifurcations. Period-doubling, saddle–node, and torus bifurcations are identified. To ensure operation on a period-1 trajectory, the angular frequency should be chosen within the range of &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;35&lt;/mn&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mi&gt;ω&lt;/mi&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;611&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, and the vertical offset should be within &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;0467&lt;/mn&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;2125&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;. The model exhibits multi-stability for &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;046&lt;/mn&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;059&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, where the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;q&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; trajectory demonstrates stronger global stability compared to &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;q&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; and quasi-period trajectories. The hysteresis caused by the torus and saddle–node bifurcations is found in the continuation analysis. According to the two-parameter domain analysis, in the range &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mi&gt;ω&lt;/mi&gt;&lt;mo&gt;≤&lt;/mo&gt;&lt;mn&gt;20&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; and &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;≤&lt;/mo&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;mo&gt;≤&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;215&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, the top three trajectory types in the proportion of the model are &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;q&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;q&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, and &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;q&lt;/","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116470"},"PeriodicalIF":5.3,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143887680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Gradient integrability estimates for elliptic double-obstacle problems with degenerate matrix weights","authors":"Minh-Phuong Tran ,&nbsp;Thanh-Nhan Nguyen","doi":"10.1016/j.na.2025.113833","DOIUrl":"10.1016/j.na.2025.113833","url":null,"abstract":"<div><div>The main objective of this paper is to study a regularity estimate for solutions to a certain elliptic double-obstacle problem involving <span><math><mi>p</mi></math></span>-Laplacian with degenerate weights. Motivated by the recent advances in this topic, we derive a general decay estimate for level sets of solutions’ gradients, toward understanding the regularity properties of obstacle problems involving a matrix-valued weight. In turn, it allows us to establish global norm estimates in a variety of specific families of spaces.</div></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":"259 ","pages":"Article 113833"},"PeriodicalIF":1.3,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143887515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}